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A041282 Numerators of continued fraction convergents to sqrt(154). 2

%I #13 Jun 13 2015 00:49:23

%S 12,25,62,211,273,757,1030,3847,8724,21295,519804,1060903,2641610,

%T 8985733,11627343,32240419,43867762,163843705,371555172,906954049,

%U 22138452348,45183858745,112506169838,382702368259,495208538097,1373119444453,1868327982550

%N Numerators of continued fraction convergents to sqrt(154).

%H Vincenzo Librandi, <a href="/A041282/b041282.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,42590,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -12*x^18 +25*x^17 -62*x^16 +211*x^15 -273*x^14 +757*x^13 -1030*x^12 +3847*x^11 -8724*x^10 -21295*x^9 -8724*x^8 -3847*x^7 -1030*x^6 -757*x^5 -273*x^4 -211*x^3 -62*x^2 -25*x -12) / (x^20 -42590*x^10 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[154], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041283.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013

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Last modified April 26 21:53 EDT 2024. Contains 372004 sequences. (Running on oeis4.)